I recently bought an iPhone 5, and used my backups to get almost everything I need from my old iPhone 4 in terms of media, documents and applications...almost.

Unfortunately, there are still a few apps left on my iPhone 4 that I need moved over, either to my computer or to my iPhone 5. I prefer the computer so that I'll always have a backup. You see, the particular apps in question have been removed from the App Store, and I can no longer download them again. For some reason, they do not appear in my library of apps from the computer. Which means, the only copies left are in my old iPhone 4.

None of them have any data attached to them(no save games, important information, etc.) so I don't have to worry about that. I just need to safely transfer these no-longer-available apps from the old to the new. All of the guides I've looked up online all have to do with either backing it up to iCloud(which won't have enough space for me) or re-downloading the app(which again, they've been removed). How can I move these apps over so I can finally get rid of my old phone?